Microsoft Creates Half-Electron Quasiparticle for Its Future Quantum Computer
gizmodo.com
gizmodo.com
Majorana particles are weird because they are their own antiparticle, but they are not "half-electrons". Moreover, probably neutrinos are Majorana particles, but nobody is sure, and currently there are some experiments to try to prove it.
On a 1D lattice this manifests itself in that one can formally decompose each electron on the chain into two Majorana spinors.
This is a trivial relabelling if degrees of freedom in the bulk of the lattice, however it reveals the possibility of topologically distinct states on the boundaries of the lattice by leaving dangling bonds on the edge.
[This is a tricky question, because the "electrons" in a crystal are not exactly the electrons in vacuum, for example they have a different effective mass.]
Also, can they measure the charge of the Majorana particles using the Hall effect or something, or trying to measure the charge destroy the quasiparticle?